Critics say Gov. Andrew Cuomo's proposals for new restrictions on convicted sex offenders don't go far enough.

Some say it seems like a no-brainer to pass the governor's proposed bill, which would prohibit some sex offenders from living within 1,000 feet of elementary schools.

But critics say that because it only applies to level 2 and 3 offenders who have committed crimes against children age 13 and under, it doesn't do enough. They argue that it leaves a large chunk of sexual criminals free to live wherever they want -- including some who were convicted of rape, according to Laura Ahearn of the advocacy group Parents for Megan's Law.

"Level 1 is designated as a low risk for reoffending, and level three is a high risk of reoffending," Ahearn says. "Either way you have a risk of reoffending, and you should not be near a school."

In addition, the measure would only apply to schools that contain kindergarten or pre-K. 

"Right now we have dangerous sex offenders that are living too close to schools. The governor's proposal will make a dent in it, but not enough," Ahearn says.